In an earlier paper preconditioning of stationary Stokes-constrained optimal control problems has been considered.
In this article we construct an efficient preconditioner for solving the algebraic systems arising from discretized optimal control problems with time-periodic Stokes equations. A simplified analysis of the derivation of the preconditioner and its properties is presented. The reconditioner is fully parameter independent and the condition number of the corresponding preconditioned matrix is bounded by 2. The o-constructed preconditioner is favourably compared with another preconditioner for the same problem.
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